42981480 has 192 divisors, whose sum is σ = 151632000. Its totient is φ = 10526208.

The previous prime is 42981461. The next prime is 42981517. The reversal of 42981480 is 8418924.

42981480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240031 + ... + 240209.

It is an arithmetic number, because the mean of its divisors is an integer number (789750).

Almost surely, 2^42981480 is an apocalyptic number.

42981480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42981480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75816000).

42981480 is an abundant number, since it is smaller than the sum of its proper divisors (108650520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42981480 is a wasteful number, since it uses less digits than its factorization.

42981480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42981480 is about 6556.0262354570. The cubic root of 42981480 is about 350.2895019695.

It can be divided in two parts, 4298 and 1480, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 42981480 in words is "forty-two million, nine hundred eighty-one thousand, four hundred eighty".